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Finding the Fourth Proportional to 835.74, 1,153.37 and 462.74

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Solution

The fourth proportional to 835.74, 1,153.37 and 462.74 is: 638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.74 : 1,153.37 = 462.74 : x
  2. Step 2: Convert to fraction form
    835.74/1,153.37 = 462.74/x
  3. Step 3: Cross multiply
    835.74x = 1,153.37 × 462.74
  4. Step 4: Simplify right side
    835.74x = 533,710.43
  5. Step 5: Solve for x
    x = 533,710.43/835.74
  6. Step 6: Final answer
    x = 638.61

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.